Exponential decay of random correlations for random Anosov systems mixing on fibers

In this paper, we study the statistical property of Anosov systems on surface driven by an external force. By utilizing the Birkhoff cone method, we show that if the systems on surface satisfying the Anosov and topological mixing on fibers property, then the quenched random correlation for Holder observables with respect to the unique random SRB measures decays exponentially.(c) 2023 Elsevier Inc. All rights reserved.

Automated summary

In this paper, the statistical properties of Anosov systems on a surface driven by an external force are studied. Using the Birkhoff cone method, it is shown that if the systems on the surface satisfy the Anosov and topological mixing on fibers property, the quenched random correlation for Holder observables with respect to the unique random SRB measures decays exponentially.